Interaction of a Superconducting Cylindrical Shell with Magnetic Fields

Works (Bagdasaryan, G.Y.: Magnetoelastic stability of superconducting shells in a magnetic field. In: Proceedings of the IUTAM-IUPAP Symposium “The Mechanical Behavior of Electromagnetic Solid Continua”, pp. 415–420. Paris (1983); Bagdasaryan, G.Y., Mkrtchyan, P.A.: Stability of superconducting cylindrical shell in a magnetic field. Izv. AN Arm. SSR Mech. 34(6), 36–47 (1981); Bagdasaryan, G.Y., Mkrtchyan, P.A.: Stability of a superconducting spherical shell in a magnetic field of circular currents. Izv. AN Arm. SSR Mech. 38(5), 22–32 (1985);Beloozerov in JTF 36:852–859, 1966; Mikilyan, M., Marzocca, P.: Dynamic instability of electroconductive cylindrical shell in a magnetic field. Int. J. Solids Struct. 160, 168–176 (2019);) and some chapters of the monograph (Bagdasaryan, G.Y., Mikilyan, M.A.: Effects of Magnetoelastic Interactions in Conductive Plates and Shells, p. 286. Springer (2016)) are devoted to studies of the interactions of superconducting thin-walled bodies and magnetic fields. In these publications, mathematical boundary value problems that characterize processes caused by the interaction of superconducting shells (plates) and magnetic fields, were obtained and formulated.